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Laura Outline

Laura Outline. MATH 260. Biological Problem. House-Wren and Bewick’s Wren competition relatively new (within the last 10 years) Didn’t share territory until recently (SITE LAURA PAPER) Wildlife ecologists want to understand competition coefficients regarding these two species. Harmless?.

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Laura Outline

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  1. Laura Outline MATH 260

  2. Biological Problem • House-Wren and Bewick’s Wren competition relatively new (within the last 10 years) • Didn’t share territory until recently (SITE LAURA PAPER) • Wildlife ecologists want to understand competition coefficients regarding these two species

  3. Harmless? http://www.paulnoll.com/Oregon/Birds/arrival-Wren-House.jpg

  4. X Bewick’s Wren Nest http://www.suttoncenter.org/images/House-Wren-Carroll.jpg(wren) http://byteshuffler.com/rospo/blog/uploaded_images/NestEggs-729160.jpg (nest)

  5. …not if you’re a Bewick’s Wren Egg Photo courtesy of The Nova Scotia Museum at http://museum.gov.ns.ca/mnh/nature/nsbirds/bns0276.htm

  6. Look at Individual Population Model • Put single species model (LAURA)

  7. Calculate carrying capacity for each species • Relate indiviual data and the logistic equation, growth rate

  8. US MAP with regions • Trend lines for each species in large, separate regions • Hope to see a straight line of each individual populations over time

  9. Data (multiple slides) • Show population graphs of both birds’ population in all regions where they are no where near each other

  10. Two Species Model • (Meghan) assumptions, what happened, equations, parameters, non-dimensionalization

  11. MODEL GOAL Estimate competition Coefficients Fit coefficients using MATLAB

  12. Solutions (general to logistic eq’n) • (Pete) Solutions to equations, linear stability • Behavior • Equilibrium

  13. Two-species interaction data • Reproduction rate • New carrying capacities • Competition coefficients!

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